The conversion of ammonium cyanide to urea is a second-order reaction. This means that the concentration C of ammonium cyanide at time t is given by 1/C = kt + 1/C0, where C0 is the initial concentration and k is the rate constant. Assume the initial concentration is known to be 0.1 mol/L exactly. Assume that time can be measured with negligible uncertainty.a) After 45 minutes, the concentration of ammonium cyanide is measured to be 0.0811 ±0.0005 mol/L. Estimate the rate constant k, and find the uncertainty in the estimate.b) Use the result in part (a) to estimate the time when the concentration of ammoniumcyanide will be 0.0750 mol/L, and find the uncertainty in this estimate.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.